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Numbers: Reading & Writing Numbers

Grade 5 Outcome A1: represent and describe whole numbers to 1 000 000
updated September 13, 2012

Performance Standards/Learning Intention/Big Idea /Vocabulary/Lessons /Support

Performance Standard focus (Fully Meeting)

      Concepts & Applications /Patterns & Relationships: I can recognize simple patterns and relationships

Learning Intentions: I will read, represent and describe whole numbers to 1 000 000 in a variety of ways.

Task:

  1. to watch & listen to lessons/modelling carefully
  2. to try reading, writing and describing whole number questions independently
  3. to solve several practice reading, writing and describing whole number questions independently
  4. goal: to model and  teach a peer how to read, write and describe whole number

Criteria: to complete practice questions correctly

 

Big Idea: real-life connection

cheque

Vocabulary (word document for printing)

standard form:   36                                   
place value: three tens, six ones
number words:   thirty-six                   
expanded notation or expanded form:  30 + 6              
whole numbers:  0, 1, 2, 3, 4 ... beginning at zero, counting number without an end ones,ten, hundred, thousand, million            
         

Model: visualizing the concept (also Riverdeep, NLVM, Shodor, Jenny Eather, Cut the Knot)

Let’s review place value first:   Read the following numbers. (see poster for more practice)
* first names are all the same (hundreds, tens, ones), last or family names change (ones, thousands, millions)

Millions
(family)

Thousands
(family)

Ones
(family)

Hundred Millions

Ten
Millions

One Millions

Hundred Thousands

Ten Thousands

One Thousands

Hundreds

Tens

  Ones

 

 

 

 

 

5

9

3

4

 

 

 

 

4

6

3

2

6

 

 

 

5

0

5

0

9

4

 

 

9

4

9

9

0

5

7

WarmUp: connecting to prior knowlege

IXL (http://www.ixl.com/math/practice/grade-5-compare-numbers-up-to-billions)

 

Lessons

Lesson # 1 Place Value
Lesson # 2 Number Words
Lesson # 3 Expanded Form (or Expanded Notation)

Lesson # 4 Ordering Numbers
Lesson # 5 Review

Lesson # 6 Place Value, a new look

Lesson #1 Place Value

Warm-Up: (http://www.bgfl.org/bgfl/custom/resources_ftp/client_ftp/ks2/maths/bead/index.htm)

** you need a pencil and paper (your scrap book)

Concrete Practice: reading and writing numbers  

Using Visual Manipulatives: concrete exploration
National Library of Visual Manipulatives

  1. watch & listen to a couple of examples
  2. using your scrap paper book, try writing and reading the number independently

Moving towards the Abstract: ** begin with more watch/listen/try and move into independent practice

* our number system follows a cyclical pattern, H T O

** remember the place value family names (e.g. millions, thousands, ones) and each 'family' contains three 'members' (HTO)
i) read the following numbers
            a) 6 2 4   (six hundred twenty-four)
                H T O

                          arrow this space is called “thousand”
            b) 6 2 4   0 0 0   (six hundred twenty-four thousand)
                H T O  H T O
                                
                       arrow this space is called “million”
            c) 624   0 0 0   0 0 0   (six hundred twenty-four million)
              H T O  H TO  H T O

            * remember: read the group of numbers prior to a space as if it were a group of HTO

ii) Naming the specific place value for 7 digit numbers (millions).  http://www.aaaknow.com/plc41ax2.htm    ……….you need to visualize the spaces (watch & listen, move into trying some independently)

iv) Comparing 7 digit number (millions) http://www.321know.com/g8_41bx1.htm (watch & listen, move into trying some independently)

(more practice questions: when ready, peel off to complete the assignment sheet.....page set-up, Math Page Setup Checklist)
What is the number                       4 768                                   2 719                   62 125


a)  how many 10s                               

b)  how many 1s                                  

c)   how many 100s

d)  how many 1 000s    

c)  1 000 more                              

d)  300 less                                 

e)   10 000 more

f)  2 000 less   

                  

What does each digit mean? Remember, we are not reading the numbers.

Word Problems

Bob is trying to figure out the number Sally has written down. She tells him that there are five tens, eight thousands, four hundreds, and two ones. What is the number?

Online Practice (Place Value)

Lesson #1 Assignments (worksheet or Math Makes Sense)

Grade 5: lesson 1 worksheet

 

 

Lesson #2 Number Words

Warm-up (http://www.ictgames.com/arrowcards.html)

Review: we write numbers in many forms
standard form:   36                                 
place values: three tens, six ones
number words:   thirty-six                    
expanded notation or expanded form:  30 + 6

Use the handout (Number Words) when writing number words until your spelling is accurate.
Rules:

Class Practice (place value chart: open in a new window)
Use the following website to practice writing the standard form and number words.

a) practice going from the number words to standard form  http://www.aaaknow.com/nam14ax2.htm
 
b) practice going from the standard form to number words
http://www.aaaknow.com/nam14bx2.htm

fifty-six =  _________________________

 

nine hundred eighty-two = _________________________

 

four thousand twenty-two = _________________________

 

three hundred thousand seven = _________________________

 

one million fifty thousand two hundred six = _________________________

 

48 =  __________________________________________________________

 

3 970 =  __________________________________________________________

 

502 712  =  __________________________________________________________

 

1 845 200 =  _______________________________________________________

Online Practice Number Words

Lesson #2 Assignments (worksheet or Math Makes Sense)

Grade 5: lesson 2 worksheet

 

Lesson #3 Expanded Notation or Expanded Form

Warm-up (http://www.ictgames.com/arrowcards.html)


Review: we write numbers in many forms
standard form:   36     5 293          43 759            1 647 345                  2 500 000                                         
place values: three tens, six ones
number words:   thirty-six                                  
expanded notation or expanded form:  30 + 6
* expanded means to stretched out
Model    549  =   5 00   +  40  +  9 
To write a number in expanded form, we write the value of the digits (place value) with an add (+) sign. Let’s review Place Value first: http://www.321know.com/plc12ex2.htm#section1  

Manipulatives use Power of Ten cards to show          

Class Practice 
Concrete: (use Power of Ten expanded notation form cards to illustrate)
Abstract: Using the following website, we will predict and check the expanded notation for a variety of numbers.
http://www.amathsdictionaryforkids.com/dictionary.html

Online Practice: Expanded Notation

Lesson #3 Assignments (worksheet or Math Makes Sense)

Grade 5: lesson 3 worksheet

 
 

Lesson #4 Ordering Numbers

Warm-up: (http://www.321know.com/cmp22cx2.htm)

view  http://schoolwaxtv.com/node/164

Practice: Now, examining the value of a digit based on its location, decide which number is larger. We will use < > symbols to show the relationship between the number pairs:

  1. 696     689
  2. 4 243      4 713
  3. 421 035      406 583
  4. 35 397      35 739
  5. 686      6 689

Practice:
With your seating partner, write the following series of numbers in order from greatest to least: discuss the strategy you used

a) 686, 696, 689 ___________________________________________________________

b) 4 756, 4 243, 4 713 _______________________________________________________

c) 421 035, 406 583, 423 004, 40 795 ___________________________________________

d) 35 937, 35 397, 35 739 ___________________________________________________

Online Practice: Ordering Numbers

Lesson #4 Assignments (worksheet or Math Makes Sense)

Grade 5: lesson 4 worksheet

 

Online Practice: choose alternate lessons and multiple practice sites

 

Self-Assessment of Learning: alternate lessons and multiple practice sites

Rating

Not at all

A bit

Quite well

Very well

Extremely well

I understand this concept….

 

 

 

 

 

I will now

 

Lesson #5 Review, with a little be extra

Review: we write numbers in many forms
standard form:   36.2                      
place values: three tens, six ones, two tenths
number words:   thirty-six and two tenths                                   
expanded notation or expanded form:  30 + 6 + 0.2

review:

Place Value: adding in a decimal spot

millions
(family)

thousands
(family)

ones
(family)

tenths
(family)

Hundred Millions

Ten
Millions

One Millions

Hundred Thousands

Ten Thousands

One Thousands


Hundreds


Tens


Ones

 


tenths

 

 

 

 

 

5

9

3

4

5

 

 

 

 

4

6

3

2

6

1

 

 

 

5

0

5

0

9

4

9

 

 

9

4

9

9

0

5

7

4

* read the following numbers

Standard Form

Number words: together, let’s write the number words for the numbers above.

3 756.4 three thousand seven hundred fifty-six and four tenths

65  800.7 sixty-five thousand eight hundred and seven tenths

321  800.6 three hundred twenty-one eight hundred and one tenth

3  867  200.1 three million eight hundred sixty-seven thousand two hundred and one tenth

13  450  000.9 thirteen million four hundred fifty thousand and nine tenths

 

 

Expanded Form (Notation): we do this the same way as before only with decimal added.
4 tenths is written as 0.4 (you need the zero because it tells us a decimal comes next) so,
300.4 = 300 + 0.4

240.7 = 200 + 40 + 0.7          Again, ignore the decimal until you get to it.

3 450.8 =

2 300 002.5 =

6 520 300.6 =

Ordering Numbers:
0.1 is the smallest tenths, it almost does not exist  

    

while 0.9 is the largest, it is almost 1 whole
                                                                                                          

Grade 5: lesson 5 worksheet

 

 

Lesson #6 Place Value, a new look

Review: we write numbers in many forms
standard form:   36     5 293          43 759            1 647 345                  2 500 000                                         
place values: three tens, six ones
number words:   thirty-six                                  
expanded notation or expanded form:  30 + 6

review:

On scrap paper (drawing book), practice writing numbers in the above forms.

Grade 6: lesson 6 worksheet

 

 

 

Text Support: e.g. my own lessons, Riverdeep, Math Makes Sense

 

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